Given numbers are 820,644,764,604,720

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 820,644,764,604,720 is 137073197520.

Find LCM of 820,644,764,604,720 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 5 x 41 x 161 x 191 x 151 x 36 = 137073197520

Therefore, the lowest common multiple of 820,644,764,604,720 is 137073197520.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

820 x 644 x 764 x 604 x 720 = 175453692825600

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

764 : 1, 2, 4, 191, 382, 764

604 : 1, 2, 4, 151, 302, 604

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,644,764,604,720, is 4.

Now, the common factors can be found like this.

820:2x 2x 5x 41

644:2x 2x 7x 23

764:2x 2x 191

604:2x 2x 151

720:2x 2x 2x 2x 3x 3x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 5 = 320

Therefore, the value for common factors is 320.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 175453692825600/(4x320)

LCM = 175453692825600/1280

LCM = 137073197520

Thus, we can understand that the LCM of 820,644,764,604,720 is 137073197520.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 890, 540, 235, 129, 148
• LCM of 360, 178, 200, 185, 123
• LCM of 206, 495, 915, 100, 872
• LCM of 500, 639, 472, 403, 967
• LCM of 282, 960, 348, 974, 436

1. What is the LCM of 820, 644, 764, 604, 720?

Answer: LCM of 820, 644, 764, 604, 720 is 137073197520.

2. How to calculate the LCM of 820, 644, 764, 604, 720?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 820, 644, 764, 604, 720.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.